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boost::numeric::odeint::runge_kutta_fehlberg78 — The RungeKutta Fehlberg 78 method.
// In header: <boost/numeric/odeint/stepper/runge_kutta_fehlberg78.hpp> template<typename State, typename Value = double, typename Deriv = State, typename Time = Value, typename Algebra = typename algebra_dispatcher< State >::algebra_type, typename Operations = typename operations_dispatcher< State >::operations_type, typename Resizer = initially_resizer> class runge_kutta_fehlberg78 : public boost::numeric::odeint::explicit_error_generic_rk< StageCount, Order, StepperOrder, ErrorOrder, State, Value, Deriv, Time, Algebra, Operations, Resizer > { public: // types typedef stepper_base_type::state_type state_type; typedef stepper_base_type::value_type value_type; typedef stepper_base_type::deriv_type deriv_type; typedef stepper_base_type::time_type time_type; typedef stepper_base_type::algebra_type algebra_type; typedef stepper_base_type::operations_type operations_type; typedef stepper_base_type::resizer_type resizer_type; // public member functions runge_kutta_fehlberg78(const algebra_type & = algebra_type()); template<typename System, typename StateIn, typename DerivIn, typename StateOut, typename Err> void do_step_impl(System, const StateIn &, const DerivIn &, time_type, StateOut &, time_type, Err &); template<typename System, typename StateIn, typename DerivIn, typename StateOut> void do_step_impl(System, const StateIn &, const DerivIn &, time_type, StateOut &, time_type); template<typename StateIn> void adjust_size(const StateIn &); };
The RungeKutta Fehlberg 78 method is a standard method for highprecision applications. The method is explicit and fulfills the Error Stepper concept. Step size control is provided but continuous output is not available for this method.
This class derives from explicit_error_stepper_base and inherits its interface via CRTP (current recurring template pattern). Furthermore, it derivs from explicit_error_generic_rk which is a generic RungeKutta algorithm with error estimation. For more details see explicit_error_stepper_base and explicit_error_generic_rk.
typename State
The state type.
typename Value = double
The value type.
typename Deriv = State
The type representing the time derivative of the state.
typename Time = Value
The time representing the independent variable  the time.
typename Algebra = typename algebra_dispatcher< State >::algebra_type
The algebra type.
typename Operations = typename operations_dispatcher< State >::operations_type
The operations type.
typename Resizer = initially_resizer
The resizer policy type.
runge_kutta_fehlberg78
public member functionsrunge_kutta_fehlberg78(const algebra_type & algebra = algebra_type());Constructs the runge_kutta_cash_fehlberg78 class. This constructor can be used as a default constructor if the algebra has a default constructor.
Parameters: 

template<typename System, typename StateIn, typename DerivIn, typename StateOut, typename Err> void do_step_impl(System system, const StateIn & in, const DerivIn & dxdt, time_type t, StateOut & out, time_type dt, Err & xerr);This method performs one step. The derivative
dxdt
of in
at the time t
is passed to the method. The result is updated outofplace, hence the input is in in
and the output in out
. Futhermore, an estimation of the error is stored in xerr
. do_step_impl
is used by explicit_error_stepper_base.
Parameters: 

template<typename System, typename StateIn, typename DerivIn, typename StateOut> void do_step_impl(System system, const StateIn & in, const DerivIn & dxdt, time_type t, StateOut & out, time_type dt);This method performs one step. The derivative
dxdt
of in
at the time t
is passed to the method. The result is updated outofplace, hence the input is in in
and the output in out
. Access to this step functionality is provided by explicit_stepper_base and do_step_impl
should not be called directly.
Parameters: 

template<typename StateIn> void adjust_size(const StateIn & x);Adjust the size of all temporaries in the stepper manually.
Parameters: 
